{"id":195,"date":"2026-06-03T15:11:24","date_gmt":"2026-06-03T15:11:24","guid":{"rendered":"https:\/\/msnm.com.my\/wp\/?page_id=195"},"modified":"2026-06-24T15:40:18","modified_gmt":"2026-06-24T15:40:18","slug":"online-fem-class","status":"publish","type":"page","link":"https:\/\/msnm.com.my\/wp\/online-fem-class\/","title":{"rendered":"Free Online FEM Class by Dr Airil"},"content":{"rendered":"\n
\n
\n
\n
\"\"<\/span>
\n

<\/p>\n<\/div><\/div>\n<\/div>\n\n\n\n

\n
\n
\n
\n

WELCOME ALL !!<\/p>\n<\/div>\n\n\n\n

<\/h3>\n<\/div>\n\n\n\n
\n

Dr Airil Yasreen Mohd Yassin is offering a free online Finite Element Method (FEM) course<\/strong> designed to build strong foundations in numerical methods and computational mechanics. Starting on 3 June<\/strong>, classes will be held every Wednesday, 9:00\u201311:00 PM<\/strong>, over approximately 12 weeks<\/strong>. The course begins from first principles, making it suitable for beginners, and follows the team’s FEM textbooks. It also provides a pathway to more advanced topics, including meshless methods, NURBS, and the Numerical Derivation Method (NDM)<\/strong>.<\/p>\n\n\n\n

1\ufe0f\u20e3 For those who have not registered yet<\/strong>
Please complete your registration using the following link:
[https:\/\/forms.gle\/ArsRx4a35TpcSkum7<\/a>]<\/p>\n\n\n\n

2\ufe0f\u20e3 Join the WhatsApp Group<\/strong>
Please join the WhatsApp group for updates and discussions using the following link:
[https:\/\/chat.whatsapp.com\/DqS4h7eJdVJ8LazYPR4sM5?s=cl&p=i&ilr=4<\/a>]<\/p>\n\n\n\n

3\ufe0f\u20e3 Download the Red Book & Blue Book<\/strong>
The PDF books can be downloaded from the following link:
[https:\/\/github.com\/msnm-official\/fem_books<\/a>]<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

<\/summary>\n
\n

<\/h2>\n\n\n\n
\n

<\/p>\n<\/div>\n<\/div>\n<\/details>\n<\/div>\n\n\n\n

\n
\n
\n
\n
\n

WEEK 01<\/p>\n<\/div>\n<\/div>\n\n\n\n

Introduction to numerical methods<\/h3>\n\n\n\n

03 JUNE 2026<\/p>\n\n\n\n

We have learned the basics of numerical methods and their application in solving mechanics problems governed by differential equations. Since computers and programming languages primarily operate with matrix systems, these governing equations must be transformed into matrix form. This can be achieved using methods such as the collocation method and the weighted residual method. The collocation method satisfies the governing equation at specific points, whereas the weighted residual method minimizes the overall error across the domain. As a result, the weighted residual method is less likely to overlook local regions with high gradients within the domain, leading to improved accuracy and a more representative solution.<\/p>\n\n\n\n

…<\/p>\n\n\n\n

\n
\"\"<\/figure>\n\n\n\n

Note (Week 01)<\/a><\/p>\n<\/div>\n\n\n\n

\n
\"\"<\/figure>\n\n\n\n

Recorded Video (Part 1)<\/a><\/p>\n<\/div>\n\n\n\n

\n
\"\"<\/figure>\n\n\n\n

Recorded Video (Part 2)<\/a><\/p>\n<\/div>\n<\/div>\n\n\n\n

\n
\n
\"\"<\/span>
\n

<\/p>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

\n
\n
\n
\"\"<\/span>
\n

<\/p>\n<\/div><\/div>\n<\/div>\n\n\n\n

\n
\n
\n

WEEK 02<\/p>\n<\/div>\n<\/div>\n\n\n\n

Galerkin WRM approach & FEM <\/h3>\n\n\n\n

10 JUNE 2026<\/p>\n\n\n\n

We successfully learned the Galerkin Weighted Residual Method (WRM) and its application in the Finite Element Method (FEM). The session emphasized the derivation of the weak form through integration by parts (IBP), where natural boundary conditions appear naturally within the formulation. We also explored the importance of the Kronecker delta property of finite element shape functions, which allows essential boundary conditions to be imposed directly. In addition, we studied the formulation of elemental equations and their assembly into a global system, providing a strong foundation for accurate and efficient numerical solutions to engineering problems.<\/p>\n\n\n\n

…<\/p>\n\n\n\n

\n
\"\"<\/figure>\n\n\n\n

Note (Week 02)<\/a><\/p>\n<\/div>\n\n\n\n

\n
\"\"<\/figure>\n\n\n\n

Recorded Video (Part 1)<\/a><\/p>\n<\/div>\n\n\n\n

\n
\"\"<\/figure>\n\n\n\n

Recorded Video (Part 2)<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

\n
\n
\n
\n
\n

WEEK 03<\/p>\n<\/div>\n<\/div>\n\n\n\n

Higher-Order FEM for Bar Element + Beam Problem<\/h3>\n\n\n\n

17 JUNE 2026<\/p>\n\n\n\n

We first discussed the formulation of the bar problem and considered its p-refinement using quadratic elements. We then learned how the Finite Element Method (FEM) can be naturally extended from bar elements to beam problems using the same discretization philosophy, element formulation procedure, and matrix assembly process. By introducing beam elements with both displacement and rotational degrees of freedom, we observed that the resulting system of matrices closely resembles those of bar elements. This demonstrates the power and versatility of FEM as a unified framework for solving diverse engineering problems while maintaining a strong connection to the underlying mechanics and physics.<\/p>\n\n\n\n

…<\/p>\n\n\n\n

\n
\"\"<\/figure>\n\n\n\n

Note (Week 03)<\/a><\/p>\n<\/div>\n\n\n\n

\n
\"\"<\/figure>\n\n\n\n

Recorded Video (Part 1)<\/a><\/p>\n<\/div>\n\n\n\n

\n
\"\"<\/figure>\n\n\n\n

Recorded Video (Part 2)<\/a><\/p>\n<\/div>\n<\/div>\n\n\n\n

\n
\n
\"\"<\/span>
\n

<\/p>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

\n
\n
\n
\"\"<\/span>
\n

<\/p>\n<\/div><\/div>\n<\/div>\n\n\n\n

\n
\n
\n

WEEK 04<\/p>\n<\/div>\n<\/div>\n\n\n\n

Derivation of Differential Equations – 1D and 2D Applications<\/h3>\n\n\n\n

24 JUNE 2026<\/p>\n\n\n\n

Now we have learned how differential equations are derived from engineering and physical systems. Students will derive Ordinary Differential Equations (ODEs) for bar and beam problems, as well as Partial Differential Equations (PDEs) for two-dimensional heat transfer phenomena. As consistently emphasized in previous classes, understanding the underlying physics and mechanics is essential for developing accurate mathematical models and becoming a true engineer. Furthermore, this foundation is crucial for pursuing advanced studies in mechanics and contributing to new discoveries and innovations in academic research.<\/p>\n\n\n\n

…<\/p>\n\n\n\n

\n
\"\"<\/figure>\n\n\n\n

Note (Week 04)<\/a><\/p>\n<\/div>\n\n\n\n

\n
\"\"<\/figure>\n\n\n\n

Recorded Video (Part 1)<\/a><\/p>\n<\/div>\n\n\n\n

\n
\"\"<\/figure>\n\n\n\n

Recorded Video (Part 2)<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

\n
\n
\n
\n
\n

WEEK 05<\/p>\n<\/div>\n<\/div>\n\n\n\n

Application of 1D FEM to Buckling and Vibration<\/h3>\n\n\n\n

WILL BE ON 01 JULY 2026<\/strong><\/p>\n\n\n\n

Building on the finite element formulations for bar and beam problems, we will apply 1D FEM to buckling and vibration analyses. Students will learn how geometric stiffness and mass matrices are used to formulate eigenvalue problems for predicting critical buckling loads and natural frequencies, reinforcing the connection between mechanics and numerical modeling…<\/p>\n\n\n\n

…<\/p>\n\n\n\n

\n
\"\"<\/figure>\n\n\n\n

Note (Week 05)<\/p>\n<\/div>\n\n\n\n

\n
\"\"<\/figure>\n\n\n\n

Recorded Video (Part 1)<\/p>\n<\/div>\n\n\n\n

\n
\"\"<\/figure>\n\n\n\n

Recorded Video (Part 2)<\/p>\n<\/div>\n<\/div>\n\n\n\n

\n
\n
\"\"<\/span>
\n

<\/p>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

WELCOME ALL !! Dr Airil Yasreen Mohd Yassin is offering a free online Finite Element Method (FEM) course designed to build strong foundations in numerical methods and computational mechanics. Starting on 3 June, classes will be held every Wednesday, 9:00\u201311:00 PM, over approximately 12 weeks. The course begins from first principles, making it suitable for […]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-195","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/msnm.com.my\/wp\/wp-json\/wp\/v2\/pages\/195","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/msnm.com.my\/wp\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/msnm.com.my\/wp\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/msnm.com.my\/wp\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/msnm.com.my\/wp\/wp-json\/wp\/v2\/comments?post=195"}],"version-history":[{"count":54,"href":"https:\/\/msnm.com.my\/wp\/wp-json\/wp\/v2\/pages\/195\/revisions"}],"predecessor-version":[{"id":289,"href":"https:\/\/msnm.com.my\/wp\/wp-json\/wp\/v2\/pages\/195\/revisions\/289"}],"wp:attachment":[{"href":"https:\/\/msnm.com.my\/wp\/wp-json\/wp\/v2\/media?parent=195"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}